Symmetry extensions of Euler’s polyhedral theorem and the band theory of solids | Zendy

A. Ceulemans | Zendy; Liviu F. Chibotaru | Zendy; P. W. Fowler | Zendy; M. Szopa | Zendy

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Symmetry extensions of Euler’s polyhedral theorem and the band theory of solids

Author(s) -

A. Ceulemans,

Liviu F. Chibotaru,

P. W. Fowler,

M. Szopa

Publication year - 1999

Publication title -

the journal of chemical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.071

H-Index - 357

eISSN - 1089-7690

pISSN - 0021-9606

DOI - 10.1063/1.478597

Subject(s) - symmetry (geometry) , symmetry group , plane symmetry , symmetry operation , euler's formula , group (periodic table) , irreducible representation , point (geometry) , space (punctuation) , pure mathematics , molecular symmetry , theoretical physics , plane (geometry) , mathematics , topology (electrical circuits) , physics , geometry , molecule , quantum mechanics , mathematical analysis , combinatorics , computer science , operating system

Irreducible symmetry representations characterize topological invariants of point group molecules. In the present paper this result is extended to periodic structures in two and three dimensions, using plane and space symmetry groups. Applications include a symmetry analysis of the band structure for the graphite sheet and related nanotubes of the leapfrog type. (C) 1999 American Institute of Physics.status: publishe

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